A Type Of Lorentz Curve Model And Its Application

In analyzing the existing models based on the Lorenz curve, we constructed a new kind of combination of the Lorenz curve model of irregularities, which mainly cons tituted by the product in the form of a concave and a convex function.First of all, the polynomial function forms we suggest is b>1, c?0, ??0, ??1 When c=0,H₁?p? is equivalent to S?p?= p?L?p??.There, L?p?= 1-?1-p^??^?,? ? ?0,1?, ?>0.According to this model, by using the income distribution data of 19 countries numerical experiments. The results show that the fitting is better than S?p?.The second, the logarithmic function forms we suggest isSame, L?p?= 1-?1-p^??^?, ?? ?0,1?, ?>0.According to this model, by using the income distribution data of 19 countries numerical experiments. The results show that the fitting is better than S?p?.Then, H₁?p? and H₂?p? weighted combination,the model forms we suggest is b₁>0, c?0, b>1, ?>0, ?₁,?₂>0, ?₁,?₂?1, d?[0,1].Finally, based on the urban and rural household income data of Hubei Provience, we have a empirical analysis with the combine Lorenz curve model and characterize the degree of income distribution in Hubei Province with Gini coefficient. The results showed that the distribution of income in Hubei Province is relatively reasonable.